Greatest Common Factor of 8629 and 8633

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

• Greatest Common Factor of 8629 and 8633 by prime factorization method
• Greatest Common Factor of 8629 and 8633 by matching factors method

Prime Factorization of 8629

Prime factors of 8629 are 8629. Prime factorization of 8629 in exponential form is:

8629 = 8629¹

Prime Factorization of 8633

Prime factors of 8633 are 89.Prime factorization of 8633 in exponential form is:

8633 = 89¹×97¹

∴ So by taking common prime factors GCF of 8629 and 8633 is 1

Factors of 8629

List of positive integer factors of 8629 that divides 8629 without a remainder.

1,8629

Factors of 8633

List of positive integer factors of 8633 that divides 8633 without a remainder.

1,89,97,8633

Greatest Common Factor

We found the factors and prime factorization of 8629 and 8633. The biggest common factor number is the GCF number.
So the greatest common factor 8629 and 8633 is 1.

Also check out the Least Common Multiple of 8629 and 8633

(i) The GCF of 8629 and 8633 is associative

GCF of 8629 and 8633 = GCF of 8633 and 8629

1. What is the GCF of 8629 and 8633?

Answer: GCF of 8629 and 8633 is 1.

2. What are the Factors of 8629?

Answer: Factors of 8629 are 1, 8629. There are 2 integers that are factors of 8629. The greatest factor of 8629 is 8629.

3. What are the Factors of 8633?

Answer: Factors of 8633 are 1, 89, 97, 8633. There are 4 integers that are factors of 8633. The greatest factor of 8633 is 8633.

4. How to Find the GCF of 8629 and 8633?

Answer:

Greatest Common Factor of 8629 and 8633 = 1

Step 1: Find the prime factorization of 8629

8629 = 8629

Step 2: Find the prime factorization of 8633

8633 = 89 x 97

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 8629 and 8633 is 1